Proving Similarity
Proportions
Similar Right Triangles
Right Triangle Trig
Right Triangle Trig Word Problems
100

a) Write a Triangle similarity statement (Triangle ABC~Triangle DEF)

b) State the postulate that supports similarity (AA,SAS,SSS)

c) Show evidence of postulate from part b


a) Triangle PQR~Triangle XYZ

b) AA similarity

c) List 2 of the following: Angle P is congruent to Angle X, Angle Q is congruent to Angle Y, Angle R is congruent to Angle Z

100


x=3

100

find x

15

100

Find x. round to the nearest 10th

2.9

100

Round to nearest 100th.

2697.37 ft

200

a) Write a Triangle similarity statement (Triangle ABC~Triangle DEF)

b) State the postulate that supports similarity (AA,SAS,SSS)

c) Show evidence of postulate from part b


a) Some combination of Triangle ABC~Triangle DEC

b) SAS Similarity

c) Angle BCA is congruent to ECD and some form of the following proportion:

6/9=10/15



200


x=6

200

Find x

25
200

Find all missing angles and sides. Round to the nearest 10th

Angle A = 28.6 degrees

Angle B = 61.4 degrees

BA=sqrt157

200

From the top of a building, the angle of depression to a car on the street is 40 degrees. If the building is 80 feet tall, how far is the car from the base of the building? Round to nearest 10th

95.3ft

300

32 ft

300

Find the area of the top right triangle. A=1/2bh

96  square units

300

Find the distance from the ball to the hole. round to nearest 100th. (Hint: draw a strategic line!)

136.81 yards

300

Matsu, who is 5.5 ft tall, is walking to a 150 ft tall building. The angle to the top of the building from his eye level is 8 degrees. How much further will he have to walk to reach the building? round to nearest 10th

1028.2 ft

400

Matsu wants to attach lights from the top of his car to the roof of his house. From a point P, he takes measurements. How long do the lights need to be? Round to nearest 10th

25.7 ft